{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SWF6OXO3KSUN4CEJXCEPN7XTEH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8d215e5a27e18cddad46b3c4955b85cc70e908baef381cad987a5a88cd548d3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-09-30T14:18:11Z","title_canon_sha256":"7da28720616ca41da363e5d700b9191be807e86fabce850137b8df5abf3c52e0"},"schema_version":"1.0","source":{"id":"1309.7854","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.7854","created_at":"2026-05-17T23:53:15Z"},{"alias_kind":"arxiv_version","alias_value":"1309.7854v1","created_at":"2026-05-17T23:53:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.7854","created_at":"2026-05-17T23:53:15Z"},{"alias_kind":"pith_short_12","alias_value":"SWF6OXO3KSUN","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SWF6OXO3KSUN4CEJ","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SWF6OXO3","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:1054e8acb9a4c6d0730c700476b06576f88b54d743a894005da0531a2ceaf419","target":"graph","created_at":"2026-05-17T23:53:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"It is shown that if G is a finite p-group of coclass 2 with p > 2, then G has a noninner automorphism of order p.","authors_text":"R. Orfi, S. Fouladi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-09-30T14:18:11Z","title":"Noninner automorphisms of order p in finite p-groups of coclass 2, when p > 2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.7854","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8f7b9b88402e0a799ed45d2bd7ead953d7dd5481276afa964bccd615e75013d6","target":"record","created_at":"2026-05-17T23:53:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8d215e5a27e18cddad46b3c4955b85cc70e908baef381cad987a5a88cd548d3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2013-09-30T14:18:11Z","title_canon_sha256":"7da28720616ca41da363e5d700b9191be807e86fabce850137b8df5abf3c52e0"},"schema_version":"1.0","source":{"id":"1309.7854","kind":"arxiv","version":1}},"canonical_sha256":"958be75ddb54a8de0889b888f6fef321f4b9edc97afbda9b1484642d758e3dcb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"958be75ddb54a8de0889b888f6fef321f4b9edc97afbda9b1484642d758e3dcb","first_computed_at":"2026-05-17T23:53:15.070614Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:15.070614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RSCHXC+MILg+K9TCR55RPn5Q83KSBGogbUftWqdFeryEqg/t79tKPAMY2p6CYT08azBce6TugzfSp4OE0Q5jDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:15.071090Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.7854","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f7b9b88402e0a799ed45d2bd7ead953d7dd5481276afa964bccd615e75013d6","sha256:1054e8acb9a4c6d0730c700476b06576f88b54d743a894005da0531a2ceaf419"],"state_sha256":"617c6840ea92070060c0d5307714bba17d6caebc68c291de10d5a1dd03d0f1db"}